{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-09-27T01:01:59.925371Z",
     "start_time": "2025-09-27T01:01:59.912901Z"
    }
   },
   "source": [
    "import pandas as pd\n",
    "\n",
    "advertising = pd.read_csv(\"/Users/xiaojian/PycharmProjects/ml_tutorial/data/advertising.csv\")\n",
    "advertising.drop(advertising.columns[0], axis=1, inplace=True)\n",
    "advertising.dropna(inplace=True)\n",
    "X = advertising.drop(\"Sales\", axis=1)\n",
    "y = advertising[\"Sales\"]\n",
    "# 计算皮尔逊相关系数\n",
    "print(X.corrwith(y, method=\"pearson\"))\n",
    "# Radio        0.576223\n",
    "# Newspaper    0.228299\n",
    "# dtype: float64\n",
    "# print(advertising.head())"
   ],
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "TV           0.782224\n",
      "Radio        0.576223\n",
      "Newspaper    0.228299\n",
      "dtype: float64\n"
     ]
    }
   ],
   "execution_count": 8
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-09-27T01:06:36.922868Z",
     "start_time": "2025-09-27T01:06:28.199187Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 计算皮尔逊相关系数矩阵\n",
    "corr_matrix = advertising.corr(method=\"pearson\")\n",
    "# 可视化热力图\n",
    "sns.heatmap(corr_matrix, annot=True, cmap=\"coolwarm\", fmt=\".2f\")\n",
    "plt.title(\"Feature Correlation Matrix\")\n",
    "plt.show()"
   ],
   "id": "e9674b5569830766",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 9
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
